EM-Quiz3 - MATH 3321 1. xy = x2y + 2x3y 2 is (a) a linear...

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MATH 3321 Quiz 3 2/1/10 1. xy ± = x 2 y +2 x 3 y 2 is (a) a linear equation. (b) a separable equation. (c) a Bernoulli equation. (d) a homogeneous equation. (e) none of the above. 2. xy ± = x 3 - 2 x 2 y is (a) a linear equation. (b) a separable equation. (c) a Bernoulli equation. (d) a homogeneous equation. (e) none of the above. 3. xy 2 y ± = x 2 y - 3 xy 2 is (a) a linear equation. (b) a separable equation. (c) a Bernoulli equation. (d) a homogeneous equation. (e) none of the above. 4. (4 y + x 2 y ) y ± =2 x + xy 2 is (a) a linear equation. (b) a separable equation. (c) a Bernoulli equation. (d) a homogeneous equation. (e) none of the above. 1
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5. The general solution of y ± = 4 y xy - 3 x is: (a) 1 4 ln( y - 3) = ln x + C (b) y +3ln y = 1 2 x 2 + C (c) 1 2 y 2 - ln y =ln x 4 + C (d) y - ln y 3 x 4 + C (e) None of the above. 6. The solution of the initial-value problem (1 + x 3 ) dy dx = x 2 y, y (1) = 1 is: (a) y 3 = 1 2 (1 + x 3 ) (b) y = 1 8 (1 + x 3 ) 3 (c) y = ln(1 + x 3 ) ln 2 (d) y = ± 1+ x 3 2 (e) None of the above. 7. The general solution of xy ± = x sin( x ) - y is: (a) y = x sin x - cos x + C (b) y = sin x - x cos x + Cx (c) y = sin x x + C x - cos x (d) y = sin x x + cos x - C x (e) None of the above. 8. The general solution of (1 + x 2 + y 2 + x 2 y 2 ) dy dx = y 2 is (a) y 2 - 1 y = tan - 1 x + C (b) tan - 1 y = tan - 1 x + C (c) y 2 +1 y = ln(1 + x 2 )+ C
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This note was uploaded on 02/09/2011 for the course MATH 3321 taught by Professor Morgan during the Fall '08 term at University of Houston.

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EM-Quiz3 - MATH 3321 1. xy = x2y + 2x3y 2 is (a) a linear...

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